Analytical Models with Stress Functions

The interface stress distributions in adhesive butt joints subjected to tensile and cleavage loadings are described using two-dimensional theory of elasticity. Interface stress distributions of adhesive band butt joints are also discussed. In addition, the effects of adhesive Young’s modulus and the adhesive thickness on the interface stress distributions are shown. For adhesive tubular butt joints, the effects on the interface stress distributions are described using axi-symmetrical theory of elasticity. It is shown that singular stresses occur at the edges of the interfaces. It is also observed that the singular stresses decrease as the adhesive Young’s modulus increases and the adhesive thickness decreases. Finally, a method of stress analysis for bonded shrink fitted joints is described and it is demonstrated that the strengths of bonded shrink fitted joints are larger than those of shrink fitted joints.